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Finding the Third Proportional to 17,477,002 and 27,135,663

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Solution

The third proportional to 17,477,002 and 27,135,663 is: 42,132,180.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,477,002 : 27,135,663 = 27,135,663 : x
  2. Step 2: Convert to fraction form
    17,477,002/27,135,663 = 27,135,663/x
  3. Step 3: Cross multiply
    17,477,002x = 27,135,663 × 27,135,663
  4. Step 4: Simplify right side
    17,477,002x = 736,344,206,449,569
  5. Step 5: Solve for x
    x = 736,344,206,449,569/17,477,002
  6. Step 6: Final answer
    x = 42,132,180.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.